{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "569d620b-882a-4d90-a82a-e0c2bb85de9d",
   "metadata": {},
   "source": [
    "\n",
    "姚端正、周国全、贾俊基《数学物理方法》第四版P.275\n",
    "\n",
    "里兹法重解例题3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e9220533-845d-4da3-88cf-4e204859b2e2",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy import *  # 导入sympy 包中所有的函数\n",
    "from sympy.abc import x # 引入默认的符号变量\n",
    "c0,c1,c2,lamd = symbols('c0 c1 c2 lambda') # 自定义符号变量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b1db7b4c-a630-474c-8c8a-0e2f2e33cc43",
   "metadata": {},
   "outputs": [],
   "source": [
    "y = x*(x-1)*(c0+c1*x+c2*x**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "81a5c4fa-ff42-41c2-ba96-ca44ec677482",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{c_{0}^{2}}{3} + \\frac{c_{0} c_{1}}{3} + \\frac{c_{0} c_{2}}{5} + \\frac{2 c_{1}^{2}}{15} + \\frac{c_{1} c_{2}}{5} + \\frac{3 c_{2}^{2}}{35} - \\lambda \\left(\\frac{c_{0}^{2}}{30} + \\frac{c_{0} c_{1}}{30} + \\frac{2 c_{0} c_{2}}{105} + \\frac{c_{1}^{2}}{105} + \\frac{c_{1} c_{2}}{84} + \\frac{c_{2}^{2}}{252}\\right)$"
      ],
      "text/plain": [
       "c0**2/3 + c0*c1/3 + c0*c2/5 + 2*c1**2/15 + c1*c2/5 + 3*c2**2/35 - lambda*(c0**2/30 + c0*c1/30 + 2*c0*c2/105 + c1**2/105 + c1*c2/84 + c2**2/252)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "J  = integrate(diff(ux,x)**2,(x, 0, 1)) - lamd* integrate(ux**2,(x, 0, 1))\n",
    "J "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "25edbd4e-f5cc-4198-9adc-727b92971e53",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{2 c_{0}}{3} + \\frac{c_{1}}{3} + \\frac{c_{2}}{5} - \\lambda \\left(\\frac{c_{0}}{15} + \\frac{c_{1}}{30} + \\frac{2 c_{2}}{105}\\right)$"
      ],
      "text/plain": [
       "2*c0/3 + c1/3 + c2/5 - lambda*(c0/15 + c1/30 + 2*c2/105)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eq0= diff(J,c0)\n",
    "eq0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "69f46e53-7489-42ea-988c-46b5bed6d127",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{c_{0}}{3} + \\frac{4 c_{1}}{15} + \\frac{c_{2}}{5} - \\lambda \\left(\\frac{c_{0}}{30} + \\frac{2 c_{1}}{105} + \\frac{c_{2}}{84}\\right)$"
      ],
      "text/plain": [
       "c0/3 + 4*c1/15 + c2/5 - lambda*(c0/30 + 2*c1/105 + c2/84)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eq1= diff(J,c1)\n",
    "eq1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f61235f5-dcbc-4e77-a3d9-80665c175883",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{c_{0}}{5} + \\frac{c_{1}}{5} + \\frac{6 c_{2}}{35} - \\lambda \\left(\\frac{2 c_{0}}{105} + \\frac{c_{1}}{84} + \\frac{c_{2}}{126}\\right)$"
      ],
      "text/plain": [
       "c0/5 + c1/5 + 6*c2/35 - lambda*(2*c0/105 + c1/84 + c2/126)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eq2= diff(J,c2)\n",
    "eq2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "19071805-db55-4ac0-b6d1-99449c30a5e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0 & 0 & 0\\\\0 & 0 & 0\\\\0 & 0 & 0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[0, 0, 0],\n",
       "[0, 0, 0],\n",
       "[0, 0, 0]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_c=zeros(3)\n",
    "matrix_c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "de5a1f7c-c568-49d8-9a61-42411ed5c9dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "c = [c0,c1,c2]\n",
    "eqs = [eq0,eq1,eq2]\n",
    "for i in [0,1,2]:\n",
    "    for j in [0,1,2]:\n",
    "        matrix_c[i,j]= expand(eqs[i]).coeff(c[j])\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "26353137-749f-4f00-8fbc-7df8633c1c72",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\frac{2}{3} - \\frac{\\lambda}{15} & \\frac{1}{3} - \\frac{\\lambda}{30} & \\frac{1}{5} - \\frac{2 \\lambda}{105}\\\\\\frac{1}{3} - \\frac{\\lambda}{30} & \\frac{4}{15} - \\frac{2 \\lambda}{105} & \\frac{1}{5} - \\frac{\\lambda}{84}\\\\\\frac{1}{5} - \\frac{2 \\lambda}{105} & \\frac{1}{5} - \\frac{\\lambda}{84} & \\frac{6}{35} - \\frac{\\lambda}{126}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[   2/3 - lambda/15,     1/3 - lambda/30, 1/5 - 2*lambda/105],\n",
       "[   1/3 - lambda/30, 4/15 - 2*lambda/105,    1/5 - lambda/84],\n",
       "[1/5 - 2*lambda/105,     1/5 - lambda/84,  6/35 - lambda/126]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "41ea76a9-df1f-4662-b538-903745ae24d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - \\frac{\\lambda^{3}}{55566000} + \\frac{11 \\lambda^{2}}{3969000} - \\frac{17 \\lambda}{165375} + \\frac{2}{2625}$"
      ],
      "text/plain": [
       "-lambda**3/55566000 + 11*lambda**2/3969000 - 17*lambda/165375 + 2/2625"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matrix_c.det()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4b7aea0c-06b2-4aec-a70b-83b5fa415006",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[56 - 4*sqrt(133), 42, 4*sqrt(133) + 56]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sol_lamd = solve(matrix_c.det(),lamd)\n",
    "sol_lamd.sort() # 排序\n",
    "sol_lamd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1aed06f5-f346-4638-8e63-34717f301f01",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 4 \\sqrt{133} + 56$"
      ],
      "text/plain": [
       "4*sqrt(133) + 56"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sol_lamd[2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "2805e586-4b89-4da4-8641-9284c575db05",
   "metadata": {},
   "outputs": [],
   "source": [
    "condition = integrate(ux*ux,(x, 0, 1)) -1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f5f452d0-820a-46ce-927b-22cb3c1e44eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(-sqrt(10)*sqrt(266 - 23*sqrt(133)) - sqrt(1330)*sqrt(266 - 23*sqrt(133))/19,\n",
       "  -3*sqrt(353780 - 30590*sqrt(133))/19,\n",
       "  sqrt(8820 - 14490*sqrt(133)/19)),\n",
       " (sqrt(1330)*sqrt(266 - 23*sqrt(133))/19 + sqrt(10)*sqrt(266 - 23*sqrt(133)),\n",
       "  3*sqrt(353780 - 30590*sqrt(133))/19,\n",
       "  -sqrt(8820 - 14490*sqrt(133)/19))]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 求 c0,c1 \n",
    "eqs_1=[eq0.subs(lamd,sol_lamd[0]), eq1.subs(lamd,sol_lamd[0]),\n",
    "       eq2.subs(lamd,sol_lamd[0]),condition]\n",
    "c_sols_1 = solve(eqs_1, c0,c1,c2)\n",
    "c_sols_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "217615b0-b8c5-4d71-8649-cf10c54fa08a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(-sqrt(210), 2*sqrt(210), 0), (sqrt(210), -2*sqrt(210), 0)]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 求 c0,c1 \n",
    "eqs_2=[eq0.subs(lamd,sol_lamd[1]), eq1.subs(lamd,sol_lamd[1]),\n",
    "       eq2.subs(lamd,sol_lamd[1]),condition]\n",
    "c_sols_2 = solve(eqs_2, c0,c1,c2)\n",
    "c_sols_2 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "be5f236f-e65e-4833-ab5f-0b78eb28eb7b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(-sqrt(10)*sqrt(23*sqrt(133) + 266) + sqrt(1330)*sqrt(23*sqrt(133) + 266)/19,\n",
       "  3*sqrt(30590*sqrt(133) + 353780)/19,\n",
       "  -sqrt(14490*sqrt(133)/19 + 8820)),\n",
       " (-sqrt(1330)*sqrt(23*sqrt(133) + 266)/19 + sqrt(10)*sqrt(23*sqrt(133) + 266),\n",
       "  -3*sqrt(30590*sqrt(133) + 353780)/19,\n",
       "  sqrt(14490*sqrt(133)/19 + 8820))]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 求 c0,c1 \n",
    "eqs_3=[eq0.subs(lamd,sol_lamd[2]), eq1.subs(lamd,sol_lamd[2]),\n",
    "       eq2.subs(lamd,sol_lamd[2]),condition]\n",
    "c_sols_3 = solve(eqs_3, c0,c1,c2)\n",
    "c_sols_3 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "6ef2fbce-3548-4085-897c-716e5217dd7b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<sympy.plotting.plot.Plot at 0x20951307fd0>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ux_1=ux.subs([(c0,c_sols_1 [0][0]), (c1,c_sols_1 [0][1]),(c2,c_sols_1 [0][2])])# 基态试探解\n",
    "ux_ex_1= sqrt(2) *sin(pi* x) # 基态精确解\n",
    "plot(ux_1,ux_ex_1,(x,0,1)) # ,legend=True\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "21b0d17d-aef0-4327-b326-c47f59d3bc22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<sympy.plotting.plot.Plot at 0x209626e6f10>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ux_2 = ux.subs([(c0,c_sols_2 [0][0]), (c1,c_sols_2 [0][1]), (c2,c_sols_2 [0][2])])# 第一激发态试探解\n",
    "ux_ex_2 = sqrt(2) *sin(2*pi* x) # 第一激发态精确解\n",
    "plot(ux_2,ux_ex_2,(x,0,1)) # ,legend=True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "13120c2f-2c4c-4c9f-a458-092f4e64d535",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<sympy.plotting.plot.Plot at 0x2096277f510>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ux_3 = ux.subs([(c0,c_sols_3 [0][0]), (c1,c_sols_3 [0][1]), (c2,c_sols_3 [0][2])]) # 第二激发态试探解\n",
    "ux_ex_3 = sqrt(2) *sin(3*pi* x) # 第二激发态精确解\n",
    "plot(ux_3, ux_ex_3, (x,0,1)) # ,legend=Truev"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c5ed5b50-676c-4946-ad6c-5c4e0d3bf841",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
